Tip Shifter NOT locking

[RickKlem]

I checked the shifter behavior and this is what I noticed:

With key in off position or out , The steering wheel is locked but I can move the shifter from park to any selection.
With key turned to the on / accessory position I cannot move shifter from Park without pressing the brake pedal .

Can someone please verify that this is the correct behavior?

As for the immobilizer unit. I cleaned all of the contacts on the box and the board itself. I reinstalled it but I still have the same issue, no crank. When I turn the key on all lights on the dash are on , then I turn it to the crank position and I get nothing. I checked for codes and I do have a P1571 / Immobilizer Error . I want to make sure that it is the issue before I send it out for a costly repair just to find out later that it is a ignition key switch issue or a relay somewhere.

Is there anything I should be checking or looking for before I send off the unit?

Thanks for any advice
Rick